STABILIZATION OF UNDERACTUATED SPACECRAFT DYNAMICS VIA SINGULARLY PERTURBED FEEDBACK LINEARIZATION

Partial feedback linearization of underactuated mechanical systems

Stabilization of nonholonomic chained systems via nonregular feedback linearization

This paper addresses the problem of feedback stabilization of nonholonomic chained systems within the framework of nonregular feedback linearization. Firstly, the nonsmooth version of nonregular feedback linearization is formulated, and a criterion for nonregular feedback linearization is provided. Then, it is proved that a chained form is linearizable via nonregular feedback control, thus enab...

Stabilization of the Unicycle via Dynamic Feedback Linearization

We consider the feedback control problem for a wheeled mobile robot with the kinematics of a unicycle, a typical example of nonholonomic robotic system. It is shown that dynamic feedback linearization can be used to design a simple control law which is valid for trajectory tracking as well as point stabilization tasks. In particular, for both cases exponential convergence with linear transients...

Composite Control for Nonlinear Singularly Perturbed Systems Based on Feedback Linearization Method

This article is devoted to the synthesis of composite control for nonlinear singularly perturbed system using feedback linearization (FL). The idea of this method consists in converting the original nonlinear system into a linear one by means of state feedback and coordinate transformation. Then, methods of control theory for linear systems are used for system design. If the original nonlinear ...

Stabilization and Tracking of Underactuated Axisymmetric Spacecraft with Bounded Control

We provide stabilizing and tracking feedback control laws for the kinematic system of an underactuated axisymmetric spacecraft subject to input constraints. As a special case we also provide a feedback control to track a specified direction in inertial space. All proposed control laws achieve asymptotic stability with exponential convergence. One of the novelties of the proposed control design ...